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Finding the Fourth Proportional to 49,691.64, 74,549.88 and 16,413.60

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Solution

The fourth proportional to 49,691.64, 74,549.88 and 16,413.60 is: 24,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,691.64 : 74,549.88 = 16,413.60 : x
  2. Step 2: Convert to fraction form
    49,691.64/74,549.88 = 16,413.60/x
  3. Step 3: Cross multiply
    49,691.64x = 74,549.88 × 16,413.60
  4. Step 4: Simplify right side
    49,691.64x = 1,223,631,910.37
  5. Step 5: Solve for x
    x = 1,223,631,910.37/49,691.64
  6. Step 6: Final answer
    x = 24,624.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.